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Finding the Third Proportional to 9,322.51 and 14,454.70

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Solution

The third proportional to 9,322.51 and 14,454.70 is: 22,412.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,322.51 : 14,454.70 = 14,454.70 : x
  2. Step 2: Convert to fraction form
    9,322.51/14,454.70 = 14,454.70/x
  3. Step 3: Cross multiply
    9,322.51x = 14,454.70 × 14,454.70
  4. Step 4: Simplify right side
    9,322.51x = 208,938,442.43
  5. Step 5: Solve for x
    x = 208,938,442.43/9,322.51
  6. Step 6: Final answer
    x = 22,412.24

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.